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We show the necessity of two-nucleon axial currents and associated pionemission/ absorption operators for the partial conservation of the axialcurrent (PCAC) nuclear matrix elements with arbitrary nuclear dynamicsdescribed by a nonrelativistic Schroedinger equation. As examples we constructsuch nonrelativistic axial two-body currents in the linear- and heterotic (g_A= 1.26) sigma models, with an optional isoscalar vector (omega) meson exchange.The nuclear matrix elements obey PCAC only if the nuclear wave functions usedin the calculation are solutions to the Schroedinger equation with the staticone-meson-exchange potential constructed in the respective (sigma) model. Thesame holds true for the nucler pion production amplitude, since it isproportional to the divergence of the axial current matrix element, by virtueof PCAC. Thus we found a new consistency condition between the pioncreation/absorption operator and the nuclear Hamiltonian. We present examplesdrawn from our models and discuss implications for one-pion-two-nucleonprocesses.Comment: 19 pages, 7 figures, submitted to Phys. Rev.

Partial conservation of axial current constraints on pion production or absorption within nonrelativistic nuclear dynamics